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DAM
2008
83views more  DAM 2008»
13 years 10 months ago
Spanning forests and the golden ratio
For a graph G, let fij be the number of spanning rooted forests in which vertex j belongs to a tree rooted at i. In this paper, we show that for a path, the fij's can be expr...
Pavel Chebotarev
RSA
2002
51views more  RSA 2002»
13 years 9 months ago
Testing subgraphs in large graphs
Let H be a fixed graph with h vertices, let G be a graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it H-free. It is known that in this ca...
Noga Alon
JCT
2006
93views more  JCT 2006»
13 years 9 months ago
On the minimal degree implying equality of the largest triangle-free and bipartite subgraphs
Erdos posed the problem of finding conditions on a graph G that imply t(G) = b(G), where t(G) is the largest number of edges in a triangle-free subgraph and b(G) is the largest nu...
József Balogh, Peter Keevash, Benny Sudakov
DAM
2010
167views more  DAM 2010»
13 years 10 months ago
A new characterization of P6-free graphs
We study P6-free graphs, i.e., graphs that do not contain an induced path on six vertices. Our main result is a new characterization of this graph class: a graph G is P6-free if an...
Pim van 't Hof, Daniël Paulusma
CG
2006
Springer
14 years 1 months ago
A Retrograde Approximation Algorithm for One-Player Can't Stop
Abstract. A one-player, finite, probabilistic game with perfect information can be presented as a bipartite graph. For one-player Can't Stop, the graph is cyclic and the chall...
James Glenn, Haw-ren Fang, Clyde P. Kruskal